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Finding the Fourth Proportional to 228,912.26, 343,411.38 and 92,145.78

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Solution

The fourth proportional to 228,912.26, 343,411.38 and 92,145.78 is: 138,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,912.26 : 343,411.38 = 92,145.78 : x
  2. Step 2: Convert to fraction form
    228,912.26/343,411.38 = 92,145.78/x
  3. Step 3: Cross multiply
    228,912.26x = 343,411.38 × 92,145.78
  4. Step 4: Simplify right side
    228,912.26x = 31,643,909,470.98
  5. Step 5: Solve for x
    x = 31,643,909,470.98/228,912.26
  6. Step 6: Final answer
    x = 138,235.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.